Gemini and Virgo immediately attract each other. A Virgo is a very mental sign, and its passions, its sensitivity, and its need for warmth and affection are somewhat buried in the Virgo. A Virgo tends to be reserved.
What Gemini does is draw that out, because Gemini is anything but reserved. Gemini loves to explore, be curious, find new things in life to do, things that are spontaneous. Let's go on this trip. Oh, let's go there. Let's try this new restaurant. So Gemini brings out that adventurousness to whatever degree that the Virgo has.
However, once the first sexuality dies down, then they run into that middle part that's difficult, because Virgo really wants an ordered, structured life. Virgo wants to utilize its talents to make a life that counts for something. Gemini wants to continue to play in a sense. Not that Gemini can't settle down and have a career and do wonderful things with its talent, but Gemini is always outward-seeking. Virgo tends to be inward-seeking.
So after they explore each other, which won't take much time, they're going to find that they're rather barren of things in common. That doesn't lead to anything very long-term.